According to the children’s growth chart that doctors use as a reference, the heights of two-year-old boys are nearly normally distributed with a mean of 85 cm inches and a standard deviation of 5 cm. If a two years-old boy is selected at random, what is the probability that he will be between 76 cm and 98 cm tall?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
According to the children’s growth chart that doctors use as a reference, the heights
of two-year-old boys are nearly
and a standard deviation of 5 cm. If a two years-old boy is selected at random, what
is the probability that he will be between 76 cm and 98 cm tall?
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